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225337872 = 243192111171
BaseRepresentation
bin11010110111001…
…10001000010000
3120201000100110010
431123212020100
5430141302442
634205434520
75404224504
oct1533461020
9521010403
10225337872
11106219751
126356ba40
13378b9226
1421cda304
1514bb1b9c
hexd6e6210

225337872 has 80 divisors (see below), whose sum is σ = 616190720. Its totient is φ = 70761600.

The previous prime is 225337837. The next prime is 225337913. The reversal of 225337872 is 278733522.

It is a self number, because there is not a number n which added to its sum of digits gives 225337872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191847 + ... + 193017.

It is an arithmetic number, because the mean of its divisors is an integer number (7702384).

Almost surely, 2225337872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225337872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308095360).

225337872 is an abundant number, since it is smaller than the sum of its proper divisors (390852848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225337872 is a wasteful number, since it uses less digits than its factorization.

225337872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1406 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 225337872 is about 15011.2581751164. The cubic root of 225337872 is about 608.5244925906.

The spelling of 225337872 in words is "two hundred twenty-five million, three hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 211 228 304 422 456 633 844 912 1171 1266 1688 2342 2532 3376 3513 4009 4684 5064 7026 8018 9368 10128 12027 14052 16036 18736 22249 24054 28104 32072 44498 48108 56208 64144 66747 88996 96216 133494 177992 192432 247081 266988 355984 494162 533976 741243 988324 1067952 1482486 1976648 2964972 3953296 4694539 5929944 9389078 11859888 14083617 18778156 28167234 37556312 56334468 75112624 112668936 225337872